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Table 3 computations for the pay performance gap.

From: "Mind the gap!" Evaluation of the performance gap attributable to exception reporting and target thresholds in the new GMS contract: National database analysis

For all practices {i = 1...I} and indicators {j = 1...J}:
Number of patients eligible for treatment before exceptions, Nij
Number of patients receiving treatment, Xij
Number of exceptions, Eij
Exception reporting rate (proportion), Eij/Nij = eij
Actual quality performance score before exceptions, qij = Xij/Nij
Reported quality performance score after exceptions, qR ij = Xij/Nij - Eij
Rearranging gives Xij = qR ij * (Nij - Eij)
Therefore actual quality performance q ij = q ij R ( N ij E ij ) / N ij = q ij R ( 1 E ij / N ij ) = q ij R ( 1 e ij ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=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@6A76@
Pay score, pij = (actual pay/maximum pay) for practice i and indicator j
Pay-performance gap for practice i and indicator j, gij = pij - qij
Pay-performance gap for indicator j, gj = ∑i pij - qij
Pay-performance gap for practice i, gi = ∑j pij - qij